How to Calculate Velocity with Acceleration and Displacement Data
How can we calculate the velocity of a body after traveling a certain distance with given acceleration?
A body accelerates uniformly from rest at 2m/s^2. Calculate its velocity after traveling 9m.
Answer:
The final velocity of the body is 6 m/s.
To solve this question, we can use one of the kinematic equations. Let's go over what variables we know and what we are trying to find. We know the acceleration (a = 2m/s²), the displacement (Δx = 9m), and the initial velocity (v1 = 0 m/s). We are trying to find the final velocity, v2.
The equation that uses all of these variables is the following:
v2² = v1² + 2*a*Δx
If we plug in the given values and simplify, we get:
v2² = 2*(2)*(9)
v2² = 36
Finally, we can take the square root of both sides to get:
v2 = 6 m/s
Therefore, the answer is 6 m/s.